A. Mahmoud and Ehab and the even-odd game
Mahmoud and Ehab play a game called the even-odd game. Ehab chooses his favorite integer n and then they take turns, starting from Mahmoud. In each player’s turn, he has to choose an integer a and subtract it from n such that:
1 ≤ a ≤ n.
If it’s Mahmoud’s turn, a has to be even, but if it’s Ehab’s turn, a has to be odd.
If the current player can’t choose any number satisfying the conditions, he loses. Can you determine the winner if they both play optimally?
Input
The only line contains an integer n (1 ≤ n ≤ 109), the number at the beginning of the game.
Output
Output “Mahmoud” (without quotes) if Mahmoud wins and “Ehab” (without quotes) otherwise.
Examples
inputCopy
1
outputCopy
Ehab
inputCopy
2
outputCopy
Mahmoud
Note
In the first sample, Mahmoud can’t choose any integer a initially because there is no positive even integer less than or equal to 1 so Ehab wins.
In the second sample, Mahmoud has to choose a = 2 and subtract it from n. It’s Ehab’s turn and n = 0. There is no positive odd integer less than or equal to 0 so Mahmoud wins.
在纸上写几个试试就行
若n为偶数,Mahmoud所选的a就是n,ta赢了
若n为奇数,Mahmoud任选一个偶数被n减掉都会剩一个奇数,Ehab选的a就是剩下的这个奇数,ta赢了
#include <iostream>
using namespace std;
int main()
{
int n;
while(cin >> n)
{
if(n & 1)
cout << "Ehab" << '\n';
else
cout << "Mahmoud" << '\n';
}
return 0;
}